यदि \(U=\mathbb{R}\) और \(A={x:x \in \mathbb{R},|x-2|<5}\), तो (A') क्या है?
If \(U=\mathbb{R}\) and \(A={x:x \in \mathbb{R},|x-2|<5}\), what is (A')?
Explanation opens after your attempt
A. (\(-\infty,-3]\cup[7,\infty\))
Concept
(|x-2|<5) gives (-3<x<7). Its complement is (\(-\infty,-3]\cup[7,\infty\)).
Why this answer is correct
The correct answer is A. (\(-\infty,-3]\cup[7,\infty\)). (|x-2|<5) gives (-3<x<7). Its complement is (\(-\infty,-3]\cup[7,\infty\)).
Exam Tip
(|x-2|<5) से (-3<x<7) मिलता है। इसका पूरक (\(-\infty,-3]\cup[7,\infty\)) है।
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